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Simulation No. 91:
The One-Time Learning Algorithm performed better in 1.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 99.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 52990.0
The average performance of the One-Time Learning Algorithm was: 38209.12. That is 72.11% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 50036.29. That is 94.43% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00833 seconds ---
Average runtime of Dynamic Algorithm: --- 0.1255 seconds ---
Average runtime of permutations: --- 0.89621 seconds ---
Total runtime of simulation: --- 89.81475 seconds ---
Runtime Breakdown:
Simulation: --- 89.81475 seconds ---
Average of permutations: --- 0.89621 seconds ---
Simulating the input parameters: --- 0.01596 seconds ---
Calculating the fractional ex-post solution: --- 0.08777 seconds ---
Calculating the integral ex-post solution: --- 0.08976 seconds ---
Average creating of permutations: --- 0.00159 seconds ---
Average One-Time Learning Algorithm: --- 0.00833 seconds ---
Average Dynamic Learning Algorithm: --- 0.1255 seconds ---
Average Greedy Algorithm: --- 0.00159 seconds ---
Average Interval Learner: --- 0.40278 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01011 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12814 seconds ---
Average WTP-Learner: --- 0.08958 seconds ---
Average Amazon Learner: --- 0.12822 seconds ---
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Simulation No. 92:
The One-Time Learning Algorithm performed better in 4.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 96.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 52620.0
The average performance of the One-Time Learning Algorithm was: 37053.3. That is 70.42% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 48892.57. That is 92.92% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00824 seconds ---
Average runtime of Dynamic Algorithm: --- 0.1256 seconds ---
Average runtime of permutations: --- 0.90478 seconds ---
Total runtime of simulation: --- 90.67346 seconds ---
Runtime Breakdown:
Simulation: --- 90.67346 seconds ---
Average of permutations: --- 0.90478 seconds ---
Simulating the input parameters: --- 0.01496 seconds ---
Calculating the fractional ex-post solution: --- 0.08777 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00152 seconds ---
Average One-Time Learning Algorithm: --- 0.00824 seconds ---
Average Dynamic Learning Algorithm: --- 0.1256 seconds ---
Average Greedy Algorithm: --- 0.00154 seconds ---
Average Interval Learner: --- 0.40319 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01015 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.1284 seconds ---
Average WTP-Learner: --- 0.09771 seconds ---
Average Amazon Learner: --- 0.12789 seconds ---
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Simulation No. 93:
The One-Time Learning Algorithm performed better in 1.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 99.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 53507.0
The average performance of the One-Time Learning Algorithm was: 37565.93. That is 70.21% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 50104.62. That is 93.64% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00822 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12568 seconds ---
Average runtime of permutations: --- 0.90763 seconds ---
Total runtime of simulation: --- 90.9587 seconds ---
Runtime Breakdown:
Simulation: --- 90.9587 seconds ---
Average of permutations: --- 0.90763 seconds ---
Simulating the input parameters: --- 0.01596 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09275 seconds ---
Average creating of permutations: --- 0.00148 seconds ---
Average One-Time Learning Algorithm: --- 0.00822 seconds ---
Average Dynamic Learning Algorithm: --- 0.12568 seconds ---
Average Greedy Algorithm: --- 0.00153 seconds ---
Average Interval Learner: --- 0.40338 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01019 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12847 seconds ---
Average WTP-Learner: --- 0.09992 seconds ---
Average Amazon Learner: --- 0.12822 seconds ---
--------------------------------------------------
Simulation No. 94:
The One-Time Learning Algorithm performed better in 1.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 99.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 51996.0
The average performance of the One-Time Learning Algorithm was: 35851.6. That is 68.95% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 48616.25. That is 93.5% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00814 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12569 seconds ---
Average runtime of permutations: --- 0.90093 seconds ---
Total runtime of simulation: --- 90.28849 seconds ---
Runtime Breakdown:
Simulation: --- 90.28849 seconds ---
Average of permutations: --- 0.90093 seconds ---
Simulating the input parameters: --- 0.01596 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00145 seconds ---
Average One-Time Learning Algorithm: --- 0.00814 seconds ---
Average Dynamic Learning Algorithm: --- 0.12569 seconds ---
Average Greedy Algorithm: --- 0.00147 seconds ---
Average Interval Learner: --- 0.4032 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01017 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12826 seconds ---
Average WTP-Learner: --- 0.09405 seconds ---
Average Amazon Learner: --- 0.12797 seconds ---
--------------------------------------------------
Simulation No. 95:
The One-Time Learning Algorithm performed better in 1.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 99.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 53305.0
The average performance of the One-Time Learning Algorithm was: 35456.56. That is 66.52% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 49900.34. That is 93.61% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00816 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12604 seconds ---
Average runtime of permutations: --- 0.9057 seconds ---
Total runtime of simulation: --- 90.76421 seconds ---
Runtime Breakdown:
Simulation: --- 90.76421 seconds ---
Average of permutations: --- 0.9057 seconds ---
Simulating the input parameters: --- 0.01496 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00147 seconds ---
Average One-Time Learning Algorithm: --- 0.00816 seconds ---
Average Dynamic Learning Algorithm: --- 0.12604 seconds ---
Average Greedy Algorithm: --- 0.00158 seconds ---
Average Interval Learner: --- 0.40373 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.0101 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12828 seconds ---
Average WTP-Learner: --- 0.09781 seconds ---
Average Amazon Learner: --- 0.12802 seconds ---
--------------------------------------------------
Simulation No. 96:
The One-Time Learning Algorithm performed better in 2.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 98.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 52942.0
The average performance of the One-Time Learning Algorithm was: 37500.46. That is 70.83% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 49537.13. That is 93.57% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00826 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12537 seconds ---
Average runtime of permutations: --- 0.90024 seconds ---
Total runtime of simulation: --- 90.21867 seconds ---
Runtime Breakdown:
Simulation: --- 90.21867 seconds ---
Average of permutations: --- 0.90024 seconds ---
Simulating the input parameters: --- 0.01596 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00145 seconds ---
Average One-Time Learning Algorithm: --- 0.00826 seconds ---
Average Dynamic Learning Algorithm: --- 0.12537 seconds ---
Average Greedy Algorithm: --- 0.00156 seconds ---
Average Interval Learner: --- 0.40282 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01013 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12817 seconds ---
Average WTP-Learner: --- 0.09425 seconds ---
Average Amazon Learner: --- 0.12767 seconds ---
--------------------------------------------------
Simulation No. 97:
The One-Time Learning Algorithm performed better in 2.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 98.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 52989.0
The average performance of the One-Time Learning Algorithm was: 37131.66. That is 70.07% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 49719.06. That is 93.83% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00829 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12547 seconds ---
Average runtime of permutations: --- 0.90139 seconds ---
Total runtime of simulation: --- 90.33337 seconds ---
Runtime Breakdown:
Simulation: --- 90.33337 seconds ---
Average of permutations: --- 0.90139 seconds ---
Simulating the input parameters: --- 0.01596 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00153 seconds ---
Average One-Time Learning Algorithm: --- 0.00829 seconds ---
Average Dynamic Learning Algorithm: --- 0.12547 seconds ---
Average Greedy Algorithm: --- 0.0015 seconds ---
Average Interval Learner: --- 0.403 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01013 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12796 seconds ---
Average WTP-Learner: --- 0.09523 seconds ---
Average Amazon Learner: --- 0.12782 seconds ---
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Simulation No. 98:
The One-Time Learning Algorithm performed better in 1.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 99.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 52282.0
The average performance of the One-Time Learning Algorithm was: 36390.23. That is 69.6% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 48881.68. That is 93.5% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00817 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12563 seconds ---
Average runtime of permutations: --- 0.90621 seconds ---
Total runtime of simulation: --- 90.81608 seconds ---
Runtime Breakdown:
Simulation: --- 90.81608 seconds ---
Average of permutations: --- 0.90621 seconds ---
Simulating the input parameters: --- 0.01596 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00158 seconds ---
Average One-Time Learning Algorithm: --- 0.00817 seconds ---
Average Dynamic Learning Algorithm: --- 0.12563 seconds ---
Average Greedy Algorithm: --- 0.0015 seconds ---
Average Interval Learner: --- 0.40333 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01018 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12833 seconds ---
Average WTP-Learner: --- 0.09891 seconds ---
Average Amazon Learner: --- 0.12817 seconds ---
--------------------------------------------------
Simulation No. 99:
The One-Time Learning Algorithm performed better in 4.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 96.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 52509.0
The average performance of the One-Time Learning Algorithm was: 37215.94. That is 70.88% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 49081.35. That is 93.47% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00825 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12559 seconds ---
Average runtime of permutations: --- 0.90452 seconds ---
Total runtime of simulation: --- 90.64653 seconds ---
Runtime Breakdown:
Simulation: --- 90.64653 seconds ---
Average of permutations: --- 0.90452 seconds ---
Simulating the input parameters: --- 0.01496 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09175 seconds ---
Average creating of permutations: --- 0.00152 seconds ---
Average One-Time Learning Algorithm: --- 0.00825 seconds ---
Average Dynamic Learning Algorithm: --- 0.12559 seconds ---
Average Greedy Algorithm: --- 0.00157 seconds ---
Average Interval Learner: --- 0.40358 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01016 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12822 seconds ---
Average WTP-Learner: --- 0.09731 seconds ---
Average Amazon Learner: --- 0.12782 seconds ---
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Simulation No. 100:
The One-Time Learning Algorithm performed better in 2.0 out of 100 permutations.
The Dynamic Learning Algorithm performed better in 98.0 out of 100 permutations.
Equal performance in 0.0 permutations.
The ex-post optimum was: 53391.0
The average performance of the One-Time Learning Algorithm was: 36354.0. That is 68.09% of the ex-post optimum.
The average performance of the Dynamic Learning Algorithm was: 49982.75. That is 93.62% of the ex-post optimum.
Average runtime of One-Time Learning Algorithm: --- 0.00816 seconds ---
Average runtime of Dynamic Algorithm: --- 0.12568 seconds ---
Average runtime of permutations: --- 0.90477 seconds ---
Total runtime of simulation: --- 90.67745 seconds ---
Runtime Breakdown:
Simulation: --- 90.67745 seconds ---
Average of permutations: --- 0.90477 seconds ---
Simulating the input parameters: --- 0.01995 seconds ---
Calculating the fractional ex-post solution: --- 0.08677 seconds ---
Calculating the integral ex-post solution: --- 0.09275 seconds ---
Average creating of permutations: --- 0.00154 seconds ---
Average One-Time Learning Algorithm: --- 0.00816 seconds ---
Average Dynamic Learning Algorithm: --- 0.12568 seconds ---
Average Greedy Algorithm: --- 0.00159 seconds ---
Average Interval Learner: --- 0.40391 seconds ---
Average Relaxed One-Time Learning Algorithm: --- 0.01008 seconds ---
Average Relaxed Dynamic Learning Algorithm: --- 0.12817 seconds ---
Average WTP-Learner: --- 0.09715 seconds ---
Average Amazon Learner: --- 0.12814 seconds ---
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The right-hand side condition was not satisfied for the One-Time Learning Algorithm.
The right-hand side condition was not satisfied for the Dynamic Learning Algorithm.
Auto-Simulation finished.
In [2]: